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Pattern recognition tasks with geometric shapes and sequences.

A sequence of five pattern recognition exercises featuring geometric shapes including squares, stars, arrows, crosses, crescents, rectangles, and triangles in various colors and arrangements.

A sequence of five pattern recognition exercises featuring geometric shapes including squares, stars, arrows, crosses, crescents, rectangles, and triangles in various colors and arrangements.

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Show Answer Key & Explanations Step-by-step solution for: 3rd Grade Patterns | Sequence | Pattern Rule | Pattern Around Us |Math
To solve the problem, we need to identify the pattern in each sequence and determine the next shape or figure that logically follows. Let's analyze each part step by step.

---

(i)


The sequence is:
```
Yellow square, Red star, Yellow square, Red star, Yellow square
```

- The pattern alternates between a yellow square and a red star.
- The last shape is a yellow square, so the next shape should be a red star.

Answer: Red star

---

(ii)


The sequence is:
```
Blue arrow pointing right, Blue downward arrow, Blue arrow pointing right, Blue downward arrow, Blue arrow pointing right, Blue downward arrow
```

- The pattern alternates between a blue arrow pointing right and a blue downward arrow.
- The last shape is a blue downward arrow, so the next shape should be a blue arrow pointing right.

Answer: Blue arrow pointing right

---

(iii)


The sequence is:
```
Green crescent, Orange plus sign, Green crescent, Green crescent, Orange plus sign, Orange plus sign, Green crescent, Green crescent, Orange plus sign
```

- The pattern involves groups of shapes:
- First group: Green crescent, Orange plus sign
- Second group: Green crescent, Green crescent, Orange plus sign, Orange plus sign
- Third group: Green crescent, Green crescent, Orange plus sign

- Each group increases the number of green crescents by one while keeping the orange plus signs consistent.
- The next group should have three green crescents followed by three orange plus signs.

Answer: Orange plus sign

---

(iv)


The sequence is:
```
Blue rectangle with 1 green square, Blue rectangle with 2 green squares, Blue rectangle with 3 green squares
```

- The pattern involves a blue rectangle with an increasing number of green squares.
- The number of green squares increases by 1 in each step: 1, 2, 3.
- The next step should have 4 green squares.

Answer: Blue rectangle with 4 green squares

---

(v)


The sequence is:
```
Yellow triangle, Blue diamond, Yellow triangle, Blue diamond
```

- The pattern alternates between a yellow triangle and a blue diamond.
- The last shape is a blue diamond, so the next shape should be a yellow triangle.

Answer: Yellow triangle

---

Final Answers:


(i) Red star
(ii) Blue arrow pointing right
(iii) Orange plus sign
(iv) Blue rectangle with 4 green squares
(v) Yellow triangle

Boxed Answer:
\[
\boxed{\text{Red star, Blue arrow pointing right, Orange plus sign, Blue rectangle with 4 green squares, Yellow triangle}}
\]
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet for 3rd.
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